Quantum Information Theory: Concepts and Methods

✍ Scribed by Joseph M. Renes

• Publisher: De Gruyter Oldenbourg
• Year: 2022
• Tongue: English
• Leaves: 336
• Series: De Gruyter Textbook
• Category: Library

✦ Synopsis

If the carriers of information are governed by quantum mechanics, new principles for information processing apply. This graduate textbook introduces the underlying mathematical theory for quantum communication, computation, and cryptography. A focus lies on the concept of quantum channels, understanding fi gures of merit, e.g. fidelities and entropies in the quantum world, and understanding the interrelationship of various quantum information processing protocols.

✦ Table of Contents

Preface
Contents
List of Figures
1 Introduction
Part I: Formalism of probability and quantum theory
2 Probability theory
3 Classical channels
4 Quantum probability theory
5 Quantum channels
6 Purification
7 Quantum mysteries
Part II: Resource measures
8 Basic resources
9 Discriminating states and channels
10 Fidelity
11 Optimal and pretty good receivers
12 Entropy
13 Uncertainty relations
Part III: Information processing protocols
14 Data compression
15 Classical communication over noisy channels
16 Information reconciliation
17 Entanglement distillation
18 Randomness extraction
19 Quantum error correction
20 Quantum key distribution
A The postulates of quantum mechanics
B Vectors and operators
C Semidefinite programs
Bibliography
Index of symbols
Index